Sum of Vague Ideals of Gamma Near-Ring
About this article
DOI:
https://doi.org/10.14419/ijet.v7i4.10.20693Keywords:
near-ring, gamma near-ring, vague set, vague ideals.Abstract
In this paper, we introduce the concept of sum and direct sum of vague ideals of gamma near-ring and also discuss some related properties of vague ideals of gamma near-ring.
References
W.E. Barnes,” On the ᴦ-rings of Nobusawa”, Pacific Journal of Mathematics, Vol.18, No.3, (1966), pp: 411-422.
R. Biswas,”Vague groups”, International Journal of Computational Cognition, Vol.4, No.2, (2000).
L. Bhaskar and T. Nagaiah,”Vague ideals of a gamma near-ring”, International Journal of Engineering, Science and Mathematics, Vol.6, No.8, (2017), pp: 59-64.
W.L. Gue and D.J. Buehrer,”Vague Sets”, Osaka Journal of Math-ematics, 23(1993), pp: 610-614.
Nobusawa,”On generalization of the ring theory”, IEEE Transac-tion on Systems, Man and Cybernetics, 1(1964), pp: 81-89.
View more references (6)
P. Narasimha Swamy, K. Vijay Kumar, T. Nagaiah and T. Srinivas”, Sum of fuzzy ideals of Gamma near-ring”, Annals of fuzzy Mathe-matics and Informatics, Vol.9, No.4, (2015), pp: 665-674.
Bh. Satyanarayana,”A note on gamma near-rings”, Indian Journal of Mathematics, 41(1999), pp: 427-433.
P.K. Sharma,”Intuitionistics fuzzy ideal of near-rings”, International Mathematics Forum, Vol.7, No.16, (2012), pp: 769-776.
Y.H. Yon, Y.B. Jun and K.H. Kim,”Intuitionistics fuzzy R-sub groups of near-rings”, Soochow Journal of Mathematics, Vol.27, No.3, (2001), pp: 243-253.
L. Zadeh,”Fuzzy Sets”, Information and Control, 8(2001), pp: 338-353.
Zhan Jianming, Ma Xueling,”Intuitionistics fuzzy ideals of near-rings”, Scientae Math Japonicae, Vol.61, No.2, (2004), pp: 219-223.